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Simplifying 7.8x + 2 = 2.4x + 19.28 Reorder the terms: 2 + 7.8x = 2.4x + 19.28 Reorder the terms: 2 + 7.8x = 19.28 + 2.4x Solving 2 + 7.8x = 19.28 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 2 + 7.8x + -2.4x = 19.28 + 2.4x + -2.4x Combine like terms: 7.8x + -2.4x = 5.4x 2 + 5.4x = 19.28 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 2 + 5.4x = 19.28 + 0.0 2 + 5.4x = 19.28 Add '-2' to each side of the equation. 2 + -2 + 5.4x = 19.28 + -2 Combine like terms: 2 + -2 = 0 0 + 5.4x = 19.28 + -2 5.4x = 19.28 + -2 Combine like terms: 19.28 + -2 = 17.28 5.4x = 17.28 Divide each side by '5.4'. x = 3.2 Simplifying x = 3.2
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